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then all parallelograms are rectangles if all parallelograms are squares, and all rectangles are squares, then all parallelograms are rectangles C. if all squares are parallelograms, and all squares are rectangles, then all parallelograms are rectangles if all rectangles are parallelograms, and all squares are parallelograms, then all rectangles are squares if all squares are rectangles, and all rectangles are parallelograms, then all squares are parallelograms

then all parallelograms are rectangles if all parallelograms are squares, and all rectangles are squares, then all parallelograms are rectangles C. if all squares are parallelograms, and all squares are rectangles, then all parallelograms are rectangles if all rectangles are parallelograms, and all squares are parallelograms, then all rectangles are squares if all squares are rectangles, and all rectangles are parallelograms, then all squares are parallelograms

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 10CT: Statement P and Q are true while R is a false statement. Classify as true or false:...
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Which of the following logical statements takes the form of an Aristotelian syllogism?

  1. if all rectangles are squares, and all squares are parallelograms, then all parallelograms are rectangles
  2. if all parallelograms are squares, and all rectangles are squares, then all parallelograms are rectangles
  3. C. if all squares are parallelograms, and all squares are rectangles, then all parallelograms are rectangles
  4. if all rectangles are parallelograms, and all squares are parallelograms, then all rectangles are squares
  5. if all squares are rectangles, and all rectangles are parallelograms, then all squares are parallelograms 
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